Abstract | ||
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The response of the Least Mean Square (LMS) algorithm to deterministic periodic inputs is considered. Under these conditions, initial values of the tap-weight vector can be identified that lead to periodic responses of LMS filters. The stability of these periodic responses determines the long-term convergence of the filter. This analysis presents some advantages over the classical studies based on the correlation matrix, because it leads to more accurate results and a better understanding of the filter operation. It is also shown that such an operation does not change essentially for more realistic inputs, as when the desired response is perturbed with a zero-mean random signal. Finally, to validate the obtained results, some simulations and experiments have been conducted for an adaptive noise canceller. |
Year | DOI | Venue |
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2013 | 10.1016/j.dsp.2012.12.007 | Digital Signal Processing |
Keywords | Field | DocType |
periodic response,periodic signal,lms filter,better understanding,periodic input,classical study,adaptive noise canceller,mean square,correlation matrix,filter operation,accurate result,stability analysis,lms algorithm | Convergence (routing),Least mean squares filter,Mathematical optimization,Covariance matrix,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
23 | 3 | 1051-2004 |
Citations | PageRank | References |
0 | 0.34 | 14 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ignacio E. Parra | 1 | 0 | 0.34 |
Wilmar Hernandez | 2 | 28 | 15.89 |
Eduardo Fernandez | 3 | 0 | 0.34 |